JavaAlgorithms/Dynamic Programming/Edit_Distance.java

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/**
Author : SUBHAM SANGHAI
A Dynamic Programming based solution for Edit Distance problem In Java
Edit distance is a way of quantifying how dissimilar two strings (e.g., words) are to one another,
by counting the minimum number of operations required to transform one string into the other
**/
import java.util.HashMap;
import java.util.Map;
import java.util.Scanner;
public class Edit_Distance
{
public static int minDistance(String word1, String word2)
{
int len1 = word1.length();
int len2 = word2.length();
// len1+1, len2+1, because finally return dp[len1][len2]
int[][] dp = new int[len1 + 1][len2 + 1];
for (int i = 0; i <= len1; i++)
{
dp[i][0] = i;
}
for (int j = 0; j <= len2; j++)
{
dp[0][j] = j;
}
//iterate though, and check last char
for (int i = 0; i < len1; i++)
{
char c1 = word1.charAt(i);
for (int j = 0; j < len2; j++)
{
char c2 = word2.charAt(j);
//if last two chars equal
if (c1 == c2)
{
//update dp value for +1 length
dp[i + 1][j + 1] = dp[i][j];
}
else
{
int replace = dp[i][j] + 1;
int insert = dp[i][j + 1] + 1;
int delete = dp[i + 1][j] + 1;
int min = replace > insert ? insert : replace;
min = delete > min ? min : delete;
dp[i + 1][j + 1] = min;
}
}
}
return dp[len1][len2];
}
// Driver program to test above function
public static void main(String args[])
{
Scanner input = new Scanner(System.in);
String s1,s2;
System.out.println("Enter the First String");
s1 = input.nextLine();
System.out.println("Enter the Second String");
s2 = input.nextLine();
//ans stores the final Edit Distance between the two strings
int ans=0;
ans=minDistance(s1,s2);
System.out.println("The minimum Edit Distance between \"" + s1 + "\" and \"" + s2 +"\" is "+ans);
}
}